Studied by 93 peopleHow to find velocity?
Derivative of position function
How to find velocity?
Slope of the s (position) graph
How to find velocity?
Estimate the v from the table of s (MTV)
How to find velocity?
Integral of a (acceleration)
How to find velocity?
Signed area of the “a” graph
How to find acceleration?
Derivative of velocity function
How to find acceleration?
Slope of the v graph
How to find acceleration?
Estimate the a from the table of v (MVT)
How to find acceleration?
Second derivative of position
How to find speed?
absolute value of velocity
How to find speed?
flip the v graph up over the x-axis
What are the 3 notations for position?
x, y, s
How to find total distance from t=a to t=b?
Integral of |v| from t=a to t=b
How to find total distance from t=a to t=b?
signed area of the graph |v| from t=a to t=b
How to find displacement from t=a to t=b (shortest distance between two points)?
Integral of v from t=a to t=b
How to find displacement from t=a to t=b (shortest distance between two points)?
signed area of the graph v from t=a to t=b
How to find displacement from t=a to t=b (shortest distance between two points)?
Displacement = distance if all values of v are all positive
How to find displacement from t=a to t=b (shortest distance between two points)?
b b
∫ v(t) dt= s(b) - s(a) → s(b) = ∫ v(t)dt + s(a)
a a
How to tell the direction of moving?
v>0: right or up
How to tell the direction of moving?
v<0: left or down
How to tell the direction of moving?
v=0: at rest
How to show “speed up” or “slow down”
Read the graph of |v|
How to show “speed up” or “slow down”
Increasing: speed up
How to show “speed up” or “slow down”
decerasing: slow down
How to show “speed up” or “slow down”
Compare the signs of v and a
a and v same sign: speed up
a and v different signs: slow down
How to find the time when it is farthest to the right (left)?
Find the abs max (min) of the position
How to tell a point is moving away/toward the origin?
Find the position of the point : left or right of origin
How to tell a point is moving away/toward the origin?
Find the sign of velocity: left or right
How to tell 2 points are moving away/ toward each other?
Find the position of the 2 points:
How to tell 2 points are moving away/ toward each other?
Find the sign of velocity of 2 points: left of right
How to tell 2 points are moving away/ toward each other?
Draw a sketch to draw conclusion
How to tell the point given will return to its original position?
Find the velocity, set it =0
How to tell the point given will return to its original position?
Find the positions of all the points whose v=0
How to tell the point given will return to its original position?
Plot all the points on a number line including the given point
How to tell the point given will return to its original position?
If the points are found out are on both sides of the given point, then it returns (using IVT)
Note
Flashcard